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40404480 = 29355261
BaseRepresentation
bin1001101000100…
…0011000000000
32211000202112020
42122020120000
540320420410
64002001440
71000301214
oct232103000
984022466
1040404480
1120897536
1211646280
1384a899c
14551a944
153831a70
hex2688600

40404480 has 80 divisors (see below), whose sum is σ = 129192624. Its totient is φ = 10772480.

The previous prime is 40404457. The next prime is 40404493. The reversal of 40404480 is 8440404.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 40404480.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5050 + ... + 10310.

Almost surely, 240404480 is an apocalyptic number.

40404480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40404480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64596312).

40404480 is an abundant number, since it is smaller than the sum of its proper divisors (88788144).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40404480 is an equidigital number, since it uses as much as digits as its factorization.

40404480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5287 (or 5271 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 40404480 is about 6356.4518404531. The cubic root of 40404480 is about 343.1440772602.

Adding to 40404480 its reverse (8440404), we get a palindrome (48844884).

The spelling of 40404480 in words is "forty million, four hundred four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1280 1536 1920 2560 3840 5261 7680 10522 15783 21044 26305 31566 42088 52610 63132 78915 84176 105220 126264 157830 168352 210440 252528 315660 336704 420880 505056 631320 673408 841760 1010112 1262640 1346816 1683520 2020224 2525280 2693632 3367040 4040448 5050560 6734080 8080896 10101120 13468160 20202240 40404480